Henri Poincaré e Euclides Roxo: subsídios para a história das relações entre filosofia da matemática e educação matemática

Abstract

The current work studies the associations between the Mathematics Education and the Phylosophy of Mathematics, aiming a contribution to the achievement of a more comprehensive modification suffered by the brazilian secondary teaching during the period held from 1929 to 1940. Educational proposals suggested by the mathematics professor Euclides Roxo were anylised along this issue, when we searched an understanding of how the appropriation of the thoughts of the mathematics phylosopher Henri Poincaré happened by this brazilian professor. Thus, we elaborated a historic mathematics synthesis highlighting facts that determine the appearance of three main phylosophic chains of mathematics, among them, the intuitionism defended by Henri Poincaré. Afterwards we analysed some of this phylosopher works, and finally confronted his ideas to Euclides Roxo's. In conclusion, we ascertained that along the historic period anylised, the associations between the Phylosophy of Mathematics and the Mathematics Education established themselves by means of na intermediation promoted by Euclides Roxo, when basing his proposals of a mathematics teaching renewal on the intuitionist phylosophy, he appropriates the same phylosophy through the pedagogical recommendations of Poincaré. This work also takes documents into account, which were found in the Private File of Euclides Roxo - APER (PFER), besides the books published by this professor, trying to make a critical reading of such documentation, considering the orientations dictated by the New History of Sciences